Highest Common Factor of 9752, 2229, 24341 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9752, 2229, 24341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9752, 2229, 24341 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 9752, 2229, 24341 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 9752, 2229, 24341 is 1.
HCF(9752, 2229, 24341) = 1
HCF of 9752, 2229, 24341 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9752, 2229, 24341 is 1.
Highest Common Factor of 9752,2229,24341 is 1
Step 1: Since 9752 > 2229, we apply the division lemma to 9752 and 2229, to get
9752 = 2229 x 4 + 836
Step 2: Since the reminder 2229 ≠ 0, we apply division lemma to 836 and 2229, to get
2229 = 836 x 2 + 557
Step 3: We consider the new divisor 836 and the new remainder 557, and apply the division lemma to get
836 = 557 x 1 + 279
We consider the new divisor 557 and the new remainder 279,and apply the division lemma to get
557 = 279 x 1 + 278
We consider the new divisor 279 and the new remainder 278,and apply the division lemma to get
279 = 278 x 1 + 1
We consider the new divisor 278 and the new remainder 1,and apply the division lemma to get
278 = 1 x 278 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9752 and 2229 is 1
Notice that 1 = HCF(278,1) = HCF(279,278) = HCF(557,279) = HCF(836,557) = HCF(2229,836) = HCF(9752,2229) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 24341 > 1, we apply the division lemma to 24341 and 1, to get
24341 = 1 x 24341 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24341 is 1
Notice that 1 = HCF(24341,1) .
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Frequently Asked Questions on HCF of 9752, 2229, 24341 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 9752, 2229, 24341?
Answer: HCF of 9752, 2229, 24341 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9752, 2229, 24341 using Euclid's Algorithm?
Answer: For arbitrary numbers 9752, 2229, 24341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.